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This equation shows that Death Valley is located 86 meters below sea level.

What is equation ?

An equation is a mathematical statement that shows the equality between two expressions. It typically contains variables, constants, and mathematical operations

The equation that shows how many meters below sea level Death Valley is located is:

Sea level elevation - Death Valley elevation = Sea level elevation - (-86 meters)

Simplifying this equation gives:

Sea level elevation + 86 meters = Sea level elevation - (-86 meters) + 86 meters

Therefore, the equation is: Sea level elevation + 86 meters = 0

This equation shows that Death Valley is located 86 meters below sea level.

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Answer:

coordinate point -4 and 3.5  and   coordinate point -2 and 8

Step-by-step explanation:

it starts at -4 and 3,5 and finishes at -2 and 8

thats all I can say

Answer:

$11

Step-by-step explanation:

Since the boots are 30% off, he will pay only 70% of the original price of the boots.

70% of $70 = 0.7 × $70 = $49

He has $60.

$60 - $49 = $11

Answer: $11

The arc length of the function y = (2/3)(x + 5)^(3/2) over the closed interval [-1, 4] is approximately 33.87 units.

To find the arc length of a curve, we use the arc length formula:

L = ∫√(1 + (dy/dx)²) dx

In this case, the function y = (2/3)(x + 5)^(3/2) is given over the interval [-1, 4]. We need to find dy/dx and substitute it into the arc length formula.

Taking the derivative of y with respect to x, we get:

dy/dx = (2/3) * (3/2) * (x + 5)^(3/2 - 1) * 1

      = (1/3) * (x + 5)^(1/2)

Next, we substitute the derivative into the arc length formula and integrate over the interval [-1, 4]:

L = ∫[-1,4] √(1 + ((1/3) * (x + 5)^(1/2))²) dx

This integral can be evaluated using various techniques, such as substitution or integration by parts. After performing the integration, we find that the arc length L is approximately 33.87 units.

Therefore, the arc length of y = (2/3)(x + 5)^(3/2) over the closed interval [-1, 4] is approximately 33.87 units.

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A. The number of red balls he had was 8  at the beginning.

Duke's starting red ball total can be found by setting up a system of equations. First, let x represent the number of red balls and y represent the number of blue balls.

After 5 days, the equation is x-15=y+10. This equation states that after 5 days, the number of red balls (x) minus 15 will equal the number of blue balls (y) plus 10. After 9 days, the equation is x-27=2y+20.

This equation states that after 9 days, the number of red balls (x) minus 27 will equal twice the number of blue balls (y) plus 20. To solve for x, both equations can be set equal to each other and solved. This results in x=8. Therefore, Duke had 8 red balls at the beginning.

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Answer:

-256

Step-by-step explanation:

you multiply each term by (-4)

Answer:

B. 11

Step-by-step explanation:

We can try it for each

10*2+5=25

25-10=15❌

11*2+5=27

27-11=16 ✔

12*2+5=29

29-12=17❌

6*2+5=17

16-6=11❌

So it's B

The estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

To calculate an estimate of the mean length of the insects Ciara found, we need to find the weighted average of the lengths using the given frequencies.

Let's denote the lower limits of the length intervals as L1 = 0, L2 = 10, and L3 = 20.

Similarly, denote the upper limits as U1 = 10, U2 = 20, and U3 = 30.

Next, we calculate the midpoints of each interval by taking the average of the lower and upper limits.

The midpoints are M1 = (L1 + U1) / 2 = 5, M2 = (L2 + U2) / 2 = 15, and M3 = (L3 + U3) / 2 = 25.

Now, we can calculate the sum of the products of the frequencies and the corresponding midpoints.

This gives us (5 \(\times\) 5) + (6 \(\times\) 15) + (9 \(\times\) 25) = 25 + 90 + 225 = 340.

Next, we calculate the sum of the frequencies, which is 5 + 6 + 9 = 20.

Finally, we divide the sum of the products by the sum of the frequencies to find the weighted average, which is 340 / 20 = 17.

Therefore, the estimate of the mean length of the insects Ciara found is 17 millimeters (mm).

Thus, the mean length of the insects Ciara found is approximately 17 millimeters (mm).

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The value of rate of change of the line that contains the points in the table is,

⇒ 3 / 4

We have to given that;

Table is defined as;

x = - 4, 0, 8

y = - 7, - 4, 2

Now, Take two points as; (- 4, - 7) and (0, - 4)

Hence, The value of rate of change of the line that contains the points in the table is,

⇒ (- 4 - (- 7)) / (0 - (- 4))

⇒ 3/4

Thus, The value of rate of change of the line that contains the points in the table is,

⇒ 3 / 4

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The cost of oil to fill the drum with height of 4 feet and a radius of 1.2 feet will be $397.90.

An understanding of the different dimensions is necessary to truly understand cubic feet, how big a cubic foot is, and how to measure cubic feet. There are three known dimensions which include a foot measurement. The dimensions expand to include additional measurements with each new dimension.

The cubic foot is an imperial and US customary unit of volume, used in the United States and the United Kingdom. It is defined as the volume of a cube with sides of one foot in length. Its volume is 28.3168 L. At 60 °F, a cubic foot of water weighs 62.37 pounds. A cubic foot (abbreviated as cu ft. or cubic ft.) is an imperial unit of measurement for the volume of a space or three-dimensional object.

Given: A drum of oil has a height of 4 feet and a radius of 1.2 feet. Oil cost has been given as $22 per cubic feet.

We have to calculate the cost to fill the drum with oil.

Since formula to get the volume of the drum is V = πr²h

V = 3.14×(1.2)²×4 = 18.09 feet³

Now the cost of oil to fill the drum will be

Cost = Volume × cost = 18.09×22 = $397.90

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The roots of the given equation is real and equal.

Given , 5\(x^{2} \\\) - 10x+ k=0

The quadratic equation is b² - 4ac = 0

Here, a= 5, b= -10, c= k

substitute in b² - 4ac = 0

(-10)² - 4 * 5* k =0

100 - 20k =0 , let this be equation (1)

100 = 20k

k = \(\frac{100}{20}\)

k = 5.

now, substitute  k= 5 in equation (1)

100 -20k = 0

100 - 20*5 = 0

100 - 100 = 0

Therefore, the given equation is real and equal .

The correct question is 5x² - 10x + k =0

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The average apple weight's 95% confidence interval is (119.14, 125.86).

According to one manufacturer, an apple weighs 120 grams on average with a 12-gram standard variation. According to statistics generated from a sample of 49 apples randomly selected from a shipment, the average weight per apple was 122. 5 grams.

Let, 

n = 49

x = 122.5 

σ = 12

To figure up and analyze a 95% confidence interval for the average apple weight; 

The formula for a 95% confidence interval is

(x ± 1.96*σ√n) 

(122.5 ± 1.96*12/√49)

(119.14, 125.86)

Consequently, a 95% confidence interval for the average apple weight is (119.14, 125.86).

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Answer: x ≅ -0.9 or -1.8

Step-by-step explanation:

\(3(3x+4)^2 - 6 = 0\)

\(3(3x+4)^2 = 6\)

\(3(9x^2+24x+16) = 6\)

\(9x^2+24x+16 = 2\)

\(9x^2+24x+14 = 0\)

Use the quadratric formula to get:

x ≅ -0.9 or -1.8

a) Standard deviation = 57.93 million dollars

Mean = 51.38 million dollars

b) Center = 51.38 million dollars

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Given:

The dataset Hollywood movies contain information on almost 1300 movies that came out of Hollywood between 2012 and 2018.

We will consider this the population of all movies produced in Hollywood during this time period.

n= 1056

Sample mean = 51.379

Standard deviation = 57.927

a)

Standard deviation = 57.93 million dollars

Mean = 51.38 million dollars

b)

Center = 51.38 million dollars

Standard error = 57.93/√1056

Standard error = 1.78 million dollars

Therefore, all the required values are given above.

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By using what we know about right triangles, we will see that the distance is 1479.4 ft

We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.

Then we use the relation:

Cos(a) = (adjacent cath)/(hypotenuse)

cos(8°) = (1465 ft)/(distance)

distance = (1465ft)/cos(8°) = 1479.4 ft

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According to the question the equation for time t is t = (s * 35000) / (h * w * f).

To solve the equation s = (h * w * f * t) / 35000 for t, we can rearrange the equation as follows:

s * 35000 = h * w * f * t

Divide both sides of the equation by (h * w * f) to isolate t:

t = (s * 35000) / (h * w * f)

Therefore, the equation for t is t = (s * 35000) / (h * w * f).

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Answer:

1 pound of turkey-3.25 and 1 pound of ham-2.75

Step-by-step explanation:

t+h=30.50

h(.50)=t

Answer:

See attached

Step-by-step explanation:

Hopefully you can read it okay, the graphs were quite small.

-> I cannot answer the last three accurately

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

3x=15

Step-by-step explanation:

theres 3 classes

x=the price of each

15$ is the total

Answer:

390625

Step-by-step explanation:

Five multiplied by 5 8 times is rlly just 5^8

Answer:390,624

Step-by-step explanation:

5x5x5x5x5x5x5x5

Standardized test score that represents 70th percentile is 86.

Percentile is a comparison score between someone's score and the scores of the rest of the group. It tells the percentage of surpassed scores.

Data set = 48, 65, 72, 86, 84, 52, 93, 97, 81, 80

Sample size, n = 10

Now, arrange numbers in ascending order.

48, 52, 65, 72, 80, 81, 84, 86, 93, 97

Formula for percentile is,

Percentile = ( Number of Scores below 86 / Sample size ) x 100

Percentile = ( 7 /10 ) x 100

= (0.7) x 100

= 70%

Therefore, we can conclude that 70th percentile is = 86.

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The value of line BD in parallelogram ABCD is 2units

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. The Sum of all the interior angles of a parallelogram equals 360 degrees.

The perimeter of a parallelogram is 2(l+w)

if BD is x

AB = 3+2x

P= 2(3+2x+x)

18= 2(3+3x)

divide both sides by

9= 3+3x

subtract 3 fromboth sides

6= 3x

x = 2units

therefore BD= 2units.

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The factor of 2 in the Virial theorem accounts for the balance between average kinetic energy and average potential energy in a system. Without this factor, the theorem would inaccurately represent the energy equilibrium.

The Virial theorem is a fundamental principle in physics that relates the average kinetic energy (KE) of a system to its average potential energy (PE). The theorem states that in a stable system, the average kinetic energy is equal to minus one-half times the average potential energy, or KE = -1/2 PE. The factor of 2 in the theorem is crucial for this relationship to hold.

To understand the significance of this factor, let's consider a hypothetical scenario where there is no factor of 2 in the Virial theorem, meaning KE = PE. In this case, the theorem would suggest an equal balance between kinetic and potential energies. However, this assumption contradicts our understanding of typical astrophysical systems.

Astrophysical systems, such as galaxies, stars, or even gas clouds, often possess a significant amount of gravitational potential energy. If there were no factor of 2, the theorem would imply that the kinetic energy of these systems is equal to the gravitational potential energy. This would imply that the system is on the verge of collapse or expansion, which is not usually the case for stable systems.

The factor of 2 in the Virial theorem accounts for the fact that the average kinetic energy of particles in a system is typically twice as large (in magnitude) as the average potential energy. This factor arises due to the virialization process, where particles oscillate between kinetic and potential energy as they interact with each other. The factor of 2 allows for a more accurate representation of the balance between these energies in a stable system.

In conclusion, the factor of 2 in the Virial theorem is essential to accurately describe the relationship between the average kinetic and potential energies in astrophysical systems. Without this factor, the theorem would fail to capture the typical energy balance observed in stable systems.

The Virial theorem is a powerful tool used in various fields of astrophysics, including the study of galaxies, star clusters, and even the dynamics of gas in the interstellar medium. Understanding its derivation and applications can provide deeper insights into the behavior and evolution of these astronomical systems.

Additionally, exploring the concept of virialization and how it relates to the factor of 2 in the Virial theorem can shed light on the dynamical processes occurring within these astrophysical environments.

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The amount tied up in AR is $69434.12

The Gross Revenue, GR = $495,958.02

From the question:

The Annual Revenue, AR = 14% of GR

AR = (14/100) x $495,958.02

AR = 0.14 x $495,958.02

AR = $69434.12

The amount tied up in AR is $69434.12

Answer:

Correct answer is the first one x^2 + 2x - 8

because (x + 4) (x - 2)

= x ^2 + 4x - 2x - 8

= x^2 + 2x - 8

The probability of first drawing a spade and then a three is 0.0192.

It is based on the probability that something will happen. The fundamental underpinning of theoretical probability is the justification for probability. For instance, the theoretical chance of receiving a head while tossing a coin is 1/2.

Given that suppose a card is drawn at random from a standard deck, the card is then shuffled back in the deck, then a card is picked at random from the deck a second time.

We have to determine the probability of first drawing a spade and then a three?

For the first draw

There are 13 spade cards in a deck of cards, which comprises a total of 52 cards.

Probability of drawing a spade= 13/52

= 1/4

Probability = 0.25

For the second draw. There are 4 face cards with number 3 in all.

Chance of getting a face = 4/52= 0.0769

Probability of red, face, diamond= 0.25 x 0.0769 =0.0192

Therefore the probability of first drawing a spade and then a three is 0.0192

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Answer:

What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11) 1060 by cata